Operations with Complex Numbers

Simplifying Negative Radicals

200

Simplify: 

sqrt(-36)

What is 

6i

300

Simplify: 

sqrt -8

2isqrt2

400

Simplify: 

3sqrt(-144)

What is: 

36i

500

Simplify: 

sqrt(-50)

What is: 

5isqrt(2)

600

Simplify: 

sqrt(-60)

What is: 

2isqrt(15)

Adding Complex Numbers

200

Simplify:

(4i)+(2i)

What is:

6i

300

Simplify:

(4+2i)+(7+5i)

What is:

11+7i

400

(6-4i)+(-11+19i)

-5 + 15i

500

Simplify:

(3-4i)+(7-8i)

What is:

10-12i

600

Simplify:

(-2+3i)+(4-3i)

What is:

2

Subtracting Complex Numbers

200

Simplify:

(8i)-(3i)

What is:

5i

300

(5+4i)-(6+4i)

-1

400

Simplify:

(3+9i)-(3+2i)

What is:

7i

500

Simplify:

(-3+4i)-(9-2i)

What is:

-12+6i

600

Simplify:

(-7-4i)-(-8-9i)

What is:

1+5i

Multiplying Complex Numbers

200

Simplify:

(3i)(7i)

What is:

-21

300

Simplify:

3(-2+7i)

What is:

-6+21i

400

(3-2i)(2-3i)

-13i

500

Simplify:

(3+i)(-5+3i)

What is:

-18+4i

600

Simplify:

(4+3i)^2

What is:

7+24i

Dividing Complex Numbers

200

Simplify:

4/(3i)

What is:

-(4i)/3

300

6/(2i)

-3i

400

Simplify:

4/(2-3i)

What is:

8/13+(12i)/13

500

Simplify:

2/(5-i)

What is:

5/13+i/13

600

Simplify:

i/(2+3i)

What is:

3/13+(2i)/13